Green Beam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) Write the hypotheses for a right-tailed...

Green Beam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) Write the hypotheses for a right-tailed test, using Green Beams’s claim as the null hypothesis about the mean. (b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer’s claim. (c) At the 1 percent level of significance (α = .01) does the sample exceed the manufacturer’s claim? (d) Find the p-value.